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1035042807648 = 25341262968193
BaseRepresentation
bin11110000111111010101…
…10111101111101100000
310122221121220122111110210
433003331112331331200
5113424231424321043
62111254143254120
7134531216463003
oct17037526757540
93587556574423
101035042807648
11369a60754a53
121487218aa340
13767b1329c95
143814c4d753a
151bdcce50633
hexf0fd5bdf60

1035042807648 has 48 divisors (see below), whose sum is σ = 2783255365296. Its totient is φ = 336599285760.

The previous prime is 1035042807647. The next prime is 1035042807649. The reversal of 1035042807648 is 8467082405301.

It is an interprime number because it is at equal distance from previous prime (1035042807647) and next prime (1035042807649).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10350428076482 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1035042807597 and 1035042807606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035042807641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131480161 + ... + 131488032.

It is an arithmetic number, because the mean of its divisors is an integer number (57984486777).

Almost surely, 21035042807648 is an apocalyptic number.

It is an amenable number.

1035042807648 is an abundant number, since it is smaller than the sum of its proper divisors (1748212557648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1035042807648 is a wasteful number, since it uses less digits than its factorization.

1035042807648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262968247 (or 262968239 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 1035042807648 in words is "one trillion, thirty-five billion, forty-two million, eight hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 262968193 525936386 788904579 1051872772 1577809158 2103745544 3155618316 4207491088 6311236632 8414982176 10781695913 12622473264 21563391826 25244946528 32345087739 43126783652 64690175478 86253567304 129380350956 172507134608 258760701912 345014269216 517521403824 1035042807648